Pith Number

pith:VOFXLFLS

pith:2015:VOFXLFLSCKVW3RNMMISQ4D3KZK

not attested not anchored not stored refs pending

On the complementary quantum capacity of the depolarizing channel

Debbie Leung, John Watrous

arxiv:1510.01366 v4 · 2015-10-05 · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VOFXLFLSCKVW3RNMMISQ4D3KZK}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:04:24.413120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab8b75957212ab6dc5ac62250e0f6aca8fb5cf08763d9dd8c71c48343f7f4648

Aliases

arxiv: 1510.01366 · arxiv_version: 1510.01366v4 · doi: 10.48550/arxiv.1510.01366 · pith_short_12: VOFXLFLSCKVW · pith_short_16: VOFXLFLSCKVW3RNM · pith_short_8: VOFXLFLS

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VOFXLFLSCKVW3RNMMISQ4D3KZK \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ab8b75957212ab6dc5ac62250e0f6aca8fb5cf08763d9dd8c71c48343f7f4648

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8ead7ac4b38f6d332b9095d3d9a12a3d447d0ccd7074846d4a0daecb9b194ad",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-10-05T21:18:04Z",
    "title_canon_sha256": "0602a827b3fa086394807a5e67a863cdb5b1d36e2abf8d0d41560bec78c64185"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01366",
    "kind": "arxiv",
    "version": 4
  }
}